Multi-invertible maps and their applications

• Autorzy: Mirosław Ślosarski
• Języki publikacji: EN

Abstrakty

EN

In this article, we define multi-invertible, multivalued maps. These mappings are a natural generalization of r-maps (in particular, the singlevalued invertible maps). They have many interesting properties and applications. In this article, the multi-invertible maps are applied to the construction of morphisms and to the theory of coincidence.

Słowa kluczowe

EN

multi-invertible map; locally admissible map; admissible morphism; strongly acyclic space; admissible map

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2019
• Tom: 18
• Strony: 35-52

Daty

wydano

2019-04-04

Twórcy

autor

Mirosław Ślosarski

• Koszalin University of Technology

Bibliografia

• Borsuk, Karol. Theory of retracts. Vol. 44 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1967.
• Engelking, Ryszard. General topology. Vol. 60 of Mathematical Monographs. Warsaw: PWN - Polish Scientific Publishers, 1977.
• Gabor, Grzegorz, Lech Górniewicz and Mirosław Slosarski. "Generalized topological essentiality and coincidence points of multivalued maps." Set-Valued Var. Anal. 17, no. 1 (2009): 1-19.
• Górniewicz, Lech. Topological fixed point theory of multivalued mappings. Second edition. Vol. 4 of Topological Fixed Point Theory and Its Applications. Dordrecht: Springer, 2006.
• Górniewicz, Lech. "Topological degree and its applications to differential inclusions." Raccolta di Seminari del Dipartimento di Matematica dell’Universita degli Studi della Calabria, March-April, 1983.
• Górniewicz, Lech and Danuta Rozpłoch-Nowakowska. "The Lefschetz fixed point theory for morphisms in topological vector spaces." Topol. Methods Nonlinear Anal. 20, no. 2 (2002): 315-333.
• Kryszewski, Wojciech. Topological and approximation methods of degree theory of set-valued maps. Vol. 336 of Dissertationes Mathematicae. Warsaw: Instytut Matematyczny Polskiej Akademii Nauk, 1994.
• Slosarski, Mirosław. "Locally admissible multi-valued maps." Discuss. Math. Differ. Incl. Control Optim. 31, no. 1 (2011): 115-132.
• Slosarski, Mirosław. "A generalized Vietoris mapping." British Journal of Mathematics and Computer Science 8, no. 2 (2015): 89-100.
• Slosarski, Mirosław. "Multidomination of metric spaces in the context of multimorphisms." J. Fixed Point Theory Appl. 17, no. 4 (2015): 641-657.
• Slosarski, Mirosław. "The multi-morphisms and their properties and applications." Ann. Univ. Paedagog. Crac. Stud. Math. 14 (2015), 5–25.
• Slosarski, Mirosław. "The fixed points of abstract morphisms." British Journal of Mathematics and Computer Science 24, no. 22 (2014): 3077-3089.